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Popular >

derivative of P(t)=566+(37t^{0.6}-106)

Solution

derivative of

P (t) = 566 + (37 t^{0.6} - 106)

Solution

\frac{22.2}{t ^{0.4}}

Solution steps

\frac{d}{d t} (566 + 37 t^{0.6} - 106)

Simplify

566 + 37 t^{0.6} - 106 : 37 t^{0.6} + 460

= \frac{d}{d t} (37 t^{0.6} + 460)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d t} (37 t^{0.6}) + \frac{d}{d t} (460)

\frac{d}{d t} (37 t^{0.6}) = \frac{22.2}{t ^{0.4}}

\frac{d}{d t} (460) = 0

= \frac{22.2}{t ^{0.4}} + 0

Simplify

= \frac{22.2}{t ^{0.4}}

Popular Examples

integral of (1/(x^2)-x^2-1/3)

\int (\frac{1}{x ^{2}} - x^{2} - \frac{1}{3}) d x

integral of (2x)/(sqrt(x^2-2x-3))

\int \frac{2 x}{x ^{2} - 2 x - 3} d x

(dy)/(dx)=e^{4x}

\frac{d y}{d x} = e^{4 x}

maclaurin x^2e^{-x^2}maclaurin

x^{2} e^{- x^{2}}

derivative of sqrt(x+3)derivative of

x + 3

Frequently Asked Questions (FAQ)

What is the derivative of P(t)=566+(37t^{0.6}-106) ?
The derivative of P(t)=566+(37t^{0.6}-106) is (22.2)/(t^{0.4)}
What is the first derivative of P(t)=566+(37t^{0.6}-106) ?
The first derivative of P(t)=566+(37t^{0.6}-106) is (22.2)/(t^{0.4)}